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Finding the Fourth Proportional to 314,928,607.80, 472,392,911.70 and 153,685,471.80

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Solution

The fourth proportional to 314,928,607.80, 472,392,911.70 and 153,685,471.80 is: 230,528,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,607.80 : 472,392,911.70 = 153,685,471.80 : x
  2. Step 2: Convert to fraction form
    314,928,607.80/472,392,911.70 = 153,685,471.80/x
  3. Step 3: Cross multiply
    314,928,607.80x = 472,392,911.70 × 153,685,471.80
  4. Step 4: Simplify right side
    314,928,607.80x = 72,599,927,509,590,240
  5. Step 5: Solve for x
    x = 72,599,927,509,590,240/314,928,607.80
  6. Step 6: Final answer
    x = 230,528,207.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.